Model the cooling of a keg of beer at 25 0C which is placed in a coolroom held a

ID: 3620587 • Letter: M

Question

Model the cooling of a keg of beer at 25 0C which is placed in a coolroom

held at 0 0C.

where: d?beer = temperature of the beer and keg (0C); room = tem-

perature of the coolroom ( 0C); t = time ( s); m = cobined mass of

beer and the keg ( kg); Cp = combined heat capacity of beer and keg

( KJ Kg-1K-1); U = overall heat transfer coefficient (KWm-2k-1); A

= surface area of keg (m2).

The keg contains 50 L of beer. The beer has a density of 1008 kgm-3.

The empty keg weighs 10 kg. The combined heat capacity of beer

and keg is 3:56 kJ KJ Kg-1K-1. The overall heat transfer coefficient is

0:1KWm-2k-1. The keg is a cylinder 460mm high and 390mm in

diameter.

a) Write a function that calculates the surface area of the keg available

for heat transfer to the air of the cool store.

function y=SurfaceArea(D,L)

Area=pi*D*L;

y= Area;

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